A wire carrying a steady current $I$ is kept in the $x$-y plane along the curve $y=A \sin \left(\frac{2 \pi}{\lambda} x\right)$. A magnetic field $B$ exists in the $z$-direction. The magnitude of the magnetic force in the portion of the wire between $x=0$ and $x=\lambda$ is

Question

A wire carrying a steady current $I$ is kept in the $x$-y plane along the curve $y=A \sin \left(\frac{2 \pi}{\lambda} x\right)$. A magnetic field $B$ exists in the $z$-direction. The magnitude of the magnetic force in the portion of the wire between $x=0$ and $x=\lambda$ is, 0, $2 \mathrm{I} \lambda \mathrm{B}$, $\mathrm{I} \lambda \mathrm{B}$, $\mathrm{I} \lambda \mathrm{B} / 2$

MARKS App · Accepted Answer

Hint : Magnetic force $=\mathrm{I} \lambda \mathrm{B}$

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